J.-F. Cai, J.V.M. Cardoso, D.P. Palomar, and J. Ying, Fast Projected Newton-like Method for Precision Matrix Estimation under Total Positivity, Thirty-seventh Conference on Neural Information Processing Systems (NeurIPS), 2023. (23 pages)

Author(s): Cai, Jianfeng; Long, Yu; Wen, Ruixue; Ying, Jiaxi Year: 2024 On the Convergence of Projected Bures-Wasserstein Gradient Descent under Euclidean Strong Convexity

JIAN-FENG CAI ∗, EMMANUEL J. CAND`ES †, AND ZUOWEI SHEN ‡ Abstract. This paper introduces a novel algorithm to approximate the matrix with minimum nuclear norm among all matrices obeying a set of convex constraints. This problem may be un-derstood as the convex relaxation of a rank minimization problem, and arises in many important

Author(s): Cai, Jianfeng; Ji, Hui; Shen, Zuowei; Ye, Guibo Source: Applied and Computational Harmonic Analysis, v. 37, (1), July 2014, p. 89-105 Year: 2014

Yimin Weiy Jianfeng Caiz Michael K. Ngx Abstract We modify the algorithm of [1], based on Newton’s iteration and on the concept of †-displacement rank, to the computation of the Moore-Penrose inverse of a rank-deficient Toeplitz matrix. Numerical results are presented to illustrate the effectiveness of the method.

Instructor: Prof. Jianfeng Cai, Room 3443, jfcai@ust.hk AND Prof. Hai Zhang, Room 3442, haizhang@ust.hk Lecture: Tue Thu 04:30PM-05:50PM, Room 5510 (Lift 25-26).

Prof Jianfeng CAI We investigate the sparse phase retrieval problem, which involves recovering an s- sparse signal of length n using m magnitude - only measurements.

Member : Prof. Jianfeng CAI , MATH/ HKUST Member : Prof. Dong XIA , MATH /HKUST Member : Prof. Fan SHI , MAE /HKUST External Examiner : Prof . Bangti JIN , The Chinese University of Hong Kong (Open to all faculty and students) The student's thesis is now being displayed on the reception counter in the General Administration Office (Room 3461). ...

iii) Prof. Jianfeng CAI iv) Prof. Ivan Chi Ho IP v) Prof. Yang XIANG vi) Prof. Can YANG Important Notes: 1. No zero course enrollment In accordance to the University's regulations, *no registered students should have 0 course enrollment*. All registered students are …

Chairman : Prof. Jianfeng CAI, MATH /HKUST Thesis Supervisor : Prof. Jimmy Chi Hung FUNG, MATH/HKUST Member : Prof. Xinzhou GUO, MATH/HKUST (Open to all faculty and students) The student's thesis is now being displayed on the reception counter in the General Administration Office (Room 3461).